Solitary waves on FPU lattices: I. Qualitative properties, renormalization and continuum limit

DOI10.1088/0951-7715/12/6/311zbMath0962.82015OpenAlexW2020963444MaRDI QIDQ4719902

Publication date: 18 June 2001

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/12/6/311

zbMATH Keywords

singular perturbation Harnack inequality solitary waves KdV equation long time dynamics interacting particles soliton solution nonlinear differential-difference equations Fermi-Pasta-Ulam lattices large Hamiltonian systems lattice Fourier multipliers one-dimensional non-integrable lattices renormalized displacement profile single-pulse waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Renormalization group methods in equilibrium statistical mechanics (82B28) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Lattice dynamics; integrable lattice equations (37K60) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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